8.1 Arithmetic Sequences

# 8.1 Arithmetic Sequences - difference d , then for each...

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Arithmetic Sequences Section 8.1

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n Arithmetic sequence  – a sequence in which the  difference between each term and the preceding  term is always constant n { 14, 10, 6, 2, ____, ____,…} n {3, 5, 8, 12, ___, ___,…}
n In an arithmetic sequence  for some constant d and all n >  2. { } n u 1 n n u u d - = +

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n In an arithmetic sequence           with  common difference d,  for every n >  1 { } n u 1 ( 1) n u u n d = + -
Summation Notation 1 2 3 1 ... m k m k c c c c c = = + + + +

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Partial Sums of an Arithmetic  Sequence n If          is an arithmetic sequence with common

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Unformatted text preview: difference d , then for each positive integer k , the k th partial sum can be found by using either of the following formulas. { } n u ( 29 1 1 1. 2 k n n n k u u u = = + ∑ 1 1 ( 1) 2. 2 k n n k k u ku d =-= + ∑ Joke Time What is an insect that’s not feeling well? Secant (sick ant) Who was a famous person that was not very healthy? “I sick” Newton...
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## This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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8.1 Arithmetic Sequences - difference d , then for each...

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